x² – 19x + 34 - lim %3D x → 2 x – 2 - (Use calculator and write your final answer in the given box)

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A: Put 8x=15tanw =[12×(15/8)³tan³w]/[5×15√1+tan²w] =(79.10/75)×(sin³w/cos³w)/[sec²w] =1.05sin³w/cos²w

Q: 10. Prove that lim x2 = 4 using the epsilon-delta definition of a limit. %3D X-2

A: limx→2x2=4

Q: cos² x d.x 4 sin* x 2.

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Q: Integration by parts. cos?x –dx sin4x

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Q: Find the radius of convergence and the interval of convergence. 2 K(k + 1) 1) First apply the Ratio ...

A: The given series is: ∑k=1∞xkk(k+1)...(1) So, ak=xkk(k+1); k≥1

Q: 1 dx (use trigonometric substitution) 3.

A: Integration

Q: In November 2021, the stock price for an Apple Inc has increased from $131 to $148 per share and Ama...

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Q: Recall how to identify the limit and exact value of each function givenc using a graph. Given the gr...

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Q: Graph 1 Graph 2 Graph 3 2- -2- Symmetry: Symmetry: Symmetry: Ox-axis Ox-axis Ox-axis Oy-axis Oy-axis...

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Q: Find the gradient vector of f(x, y) = e®"y at the point (1, In(2)). 6 In(2)i+ 2j O 2i +j 2i + 2j 3 I...

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Q: 23. Find the point c that satisfies the mean value theorem for integrals on the interval [1,4] for f...

A: The given function is: f(X)=2x2-7x, [1,4]

Q: Question Select your answer. What is lim h() in the graph below? 1 -2 Answer 2.

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Q: The graph of f', the derivative of f, is shown below. Determine all possible inferences that can be ...

A: Let's find. 

Q: 3 da IV9z2-4 o+ (z등) o 음sec-l (금) + C ○ 을sin-1 (을피) + C 0 3sin-1 (을2) +C O 3 sec -1. (을띠) + C

A: This question is based on indefinite integral.

Q: Find the derivative of the function. f(t) = = 3(t7 - 2)5 Step 1 Recall that the derivative of a cons...

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Q: Question 19 * 19. Differentiate f (x) = 3 ln (2x –1)´ with respect to x . 12 S"(x)=- 2x-1 A S'(x)=: ...

A: Given :f(x)=3ln(2x-1)2

Q: Question 3: Suppose that H = xy + V3x2 + 4y?, and at t = 0 (initiation) we have r = 1, y = 1, H = 6,...

A: Let's find. 

Q: Exercise: Do as indicated if x 4. 3 1. Is the function g(x) = continuous on [1,4]? on (-∞, 0)? 3 – ...

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Q: 8. Find the limit, if it exists, or show that it does not exist: 2х-у a) lim (x,y)→(1,2) 4x²-y2 ху+у...

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Q: Español Translate each graph as specified below. (a) The graph of y =x is shown. Translate it to get...

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Q: 13. Find the solution set of |6x – 13x – 5|| 2x b) 14x – 1| 2 12x + 3| + 1 c) |2x? – 3x – 4|< 5

A: In this question we will use formula |A|= x.  A= -x  Or A= x        

Q: Given the function f(x) = x° + 5x*, determine all intervals on which f is both increasing and concav...

A: Given :f(x)=x5+5x4To find: All intervals on which f is both increasing and concave up.  

Q: the cross section of a trough is a parabolic segment 8 ft wide and 4 ft deep. if the trough is fille...

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Q: b.2 cos2 3x + sin3x = 1 %3D

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Q: x+1 dx (25 – x²)3/2

A: We will evaluate the given integral as shown below by using trigonometric substitution

Q: y2)dx = xdy when X2 ; Y- 3

A:

Q: 9.) f@)= 3x 2x + 4 at a point where x 0 10.) fx) = (x + 1)' at a point where x = 1

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Q: 27. Use the disk method to find the volume of the solid generated by the region bounded by the line ...

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Q: 3 lim f(r) エーC lim g(r) 12, and lim h(r) = -3. エーHe エー Compute the following limits: a. lim(-4 f(r))...

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Q: Use finite approximations to estimate the graph of f(x) =x between x = 0and x = 1 using 1. a lower s...

A: Let's find. 

Q: Martin went to the store and bought toilet paper and paper towels in March of 2020 and sold them to ...

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Q: 28. Sketch the graph of 2x + 4y + 3z 12.

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Q: Integrate (2x - 5) with respect to x from x = 2 to x = 5.

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Q: • Solve the separated functions when (i) k = 0 (ii) k #0 a²x kX(x) = 0 a2x2 %3D

A: For (i), k=0.     ∂2X∂x2-kX=0⇒∂2X∂x2=0Integrating once,⇒∂X∂x=c1Integrating again,⇒X=c1x+c2

Q: 3z2+x 30. If z – xz – y = 0, prove that- =- ax dy (3z²–x)³*

A: Let's find. 

Q: Simplify (129 + 121 + i) (12021)

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Use the trapezoidal rule with n = 5 to approximate cos(a) - d.x Keep at least 2 decimal places accur...

A: ∫15cos(x)xdx ; n=5

Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...

A: Range of R = {y: x,y∈R}. Inverse Relation : R-1 ={y,x: x,y∈R}.

Q: 19. Differentiate the following functions. a) y = (3t2 + 2)(3t² – 2t + 1) 12-4t+4 t2-5t+6 b) s=

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Q: x+2x dx r2+1 -2.

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Q: 4.Sin3x-sinx CoS X S Sinx(Sin?x-)) Sini(sinni1). Sin ?x. tanx (sin zx -1) $in=t1 COS tan-o

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Q: The function f is shown below. What is the value of f(x) dx? Write your answer in simplest form. Gra...

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Q: S(2y + 3)?/ y+ 2 dy

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Q: 5**+2x (2x3 +1)dx *(2x3+1)dx

A: I have stated the used formulas in the solution.

Q: Use sigma notation to write the Taylor series about I = 6 for the function. 1 Σ

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. d, In (n² + 5) –...

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Q: Find the shortest distance, d, from the point (6, 0, -4) to the plane x + y + z = 4.

A: The shortest distance of a point from a plane is said to be along the line perpendicular to the plan...

Q: Find the value of the limit x² + y? lim (x,y)→(0,0) 2x + y (You can consider using the polar substit...

A: Limit  =  0 When both variable are in sum and squared form then trigonometry subsitution results in ...

Q: Evaluate: O-0.05+j0.602 O -0.05-j0.602 O 0.05+j0.602 0.05-j0.602

A: To find: jjjj We'll use the formula: j=ejπ2.

Q: If x= (5,-1,2), y=(1,-1,1) then x × y is

A: